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Which inequality matches the graph?.X, Y graph. X range is negative 10 to 10, and Y range is negative 10 to 10. Solid line on graph has positive slope and runs through negative 3, negative 8 and 1, negative 2 and 9, 10. Above line is shaded.. .

A) -2x + 3y > 7.
B) 2x - 3y <7.
C) -3x + 2y ≥ 7.
D) 3x - 2y ≤ 7. . s.

Which inequality matches the graphX Y graph X range is negative 10 to 10 and Y range is negative 10 to 10 Solid line on graph has positive slope and runs throu class=

Respuesta :

calculista

Answer:

Option D

[tex]3x-2y\leq 7[/tex]

Step-by-step explanation:

Let

[tex]A(-3,-8),B(1,-2)[/tex]  

Find the slope of the line

[tex]m=\frac{-2+8}{1+3}[/tex]

[tex]m=\frac{3}{2}[/tex]

Find the equation of the line

[tex]y-y1=m(x-x1)[/tex]

[tex]y+2=\frac{3}{2}(x-1)[/tex]

[tex]y=\frac{3}{2}x-\frac{3}{2}-2[/tex]

[tex]y=\frac{3}{2}x-\frac{7}{2}[/tex]

The solution is the shaded area above the solid line

so

The inequality is equal to

[tex]y\geq \frac{3}{2}x-\frac{7}{2}[/tex]

Multiply by [tex]2[/tex] both sides

[tex]2y\geq 3x-7\\ \\-3x+2y\geq -7[/tex]--------> multiply by [tex]-1[/tex]

[tex]3x-2y\leq 7[/tex]

alyozii

ion know if we have the same question because the graphs are different, but the choices are the same. i choose D (3x - 2y ≤ 7) and it's not right for my question. if you have the same question as me, don't pick D

Ver imagen alyozii

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